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The set of all minimal partial realizations

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3 Author(s)
Zazworsky, Raymond M. ; United States Air Force Academy, Colorado Springs, CO, USA ; Jensen, D. ; Baker, W.

This paper is concerned with the uniqueness of minimal partial realizations. Earlier papers are typically concerned with the problem of the existence and the determination of a matrix triple (\tilde{A},\tilde{B},\tilde{C}) which is a minimal partial realization of a sequence {Y_{1},...,Y_{m}} of Markov parameters. In this paper a parameterized realization (A(y),B, C) ( y is a parameter vector) is defined which characterizes the set of all minimal partial realizations of the sequence { Y_{1},. . . , Y_{m}} . An example is provided and the utility of the parameterization is discussed.

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Automatic Control, IEEE Transactions on  (Volume:24 ,  Issue: 6 )